Search a number
-
+
56522565600 = 253521710091373
BaseRepresentation
bin110100101001000000…
…011110011111100000
312101220011011211112120
4310221000132133200
51411224234044400
641544402424240
74040452610664
oct645100363740
9171804154476
1056522565600
1121a75573136
12ab55362080
13543a1919b7
142a42aca8a4
15170c301ca0
hexd2901e7e0

56522565600 has 288 divisors, whose sum is σ = 195138447840. Its totient is φ = 14161674240.

The previous prime is 56522565571. The next prime is 56522565611. The reversal of 56522565600 is 656522565.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41166514 + ... + 41167886.

It is an arithmetic number, because the mean of its divisors is an integer number (677564055).

Almost surely, 256522565600 is an apocalyptic number.

56522565600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56522565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97569223920).

56522565600 is an abundant number, since it is smaller than the sum of its proper divisors (138615882240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56522565600 is a wasteful number, since it uses less digits than its factorization.

56522565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 56522565600 in words is "fifty-six billion, five hundred twenty-two million, five hundred sixty-five thousand, six hundred".